Hi Prashant, > I am trying to solve an Inverse Cauchy problem in 3D nonlinear elasticity. > I have observed displacement data at partial boundary as well in partial > regions inside the body, and want to reconstruct the traction field. From > documentation of deal.II, I understood how tangent stiffness matrix can be > created at each iteration for the forward problem. > This is a challenging ill-posed problem. I did something similar myself in the past. An advice from my experience: Start with linear elasticity (Navier-Lame). In fact the stiffness-matrix is the tangent stiffness matrix of Saint-Venant Materials around the zero-displacement field. Then with Saint-Venant. If this works try "simple" Neo-Hookean laws (keep in mind that tangent stiffness is not necessarily definite etc). etc... but I guess that was not your question. (Sorry for the unrequested advice)
While solving the inverse problem iteratively, I want to retrieve this > tangent stiffness matrix at each iteration, perform necessary algebraic > manipulations and update the increments in unknown displacement and > traction variables. Is it possible to do so using deal.II? If you have > any suggestions, please feel free to include them. > Look at tutorial step-44. I think you will find what you are looking for. Hope that helps. Best, Konrad -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to dealii+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/56f9a37a-58e0-4b56-a265-41ebdd1557b0%40googlegroups.com.
